Home / 1,418.10-2,128.88-802.24

Finding the Fourth Proportional to 1,418.10, 2,128.88 and 802.24

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Solution

The fourth proportional to 1,418.10, 2,128.88 and 802.24 is: 1,204.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.10 : 2,128.88 = 802.24 : x
  2. Step 2: Convert to fraction form
    1,418.10/2,128.88 = 802.24/x
  3. Step 3: Cross multiply
    1,418.10x = 2,128.88 × 802.24
  4. Step 4: Simplify right side
    1,418.10x = 1,707,872.69
  5. Step 5: Solve for x
    x = 1,707,872.69/1,418.10
  6. Step 6: Final answer
    x = 1,204.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.